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The concession stand at the local high school sells pretzels and lemonade. The total cost of two pretzels and a lemonade is $5.75. The total cost of two lemonades is $0.25 more than the cost of a pretzel. What is the cost of a pretzel?

Respuesta :

Ckaranja
$2.35

Working
Let p represent the cost of pretzels and L the cost of a lemonade. 
From the second paragraph,
2p+ L= 5.75

From the equation above, the cost of a pretzel p can be expressed as:
2p= 5.75 - L
p= 5.75/2 - l/2
The cost of two lemonades exceeds that of  a pretzel by 0.25:
2 L= 5.75/2 -L/2+0.25

Solving this gives:
L=1.05

Then replace the value of L in p= 5.75/2 - L/2
This gives the value of a pretzel.